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100804248 = 23328915731
BaseRepresentation
bin1100000001000…
…10011010011000
321000200101102200
412000202122120
5201301213443
614000330200
72332551636
oct600423230
9230611380
10100804248
11519a07a6
1229913960
1317b658ac
14d560356
158cb2dd3
hex6022698

100804248 has 48 divisors (see below), whose sum is σ = 276096600. Its totient is φ = 33221760.

The previous prime is 100804241. The next prime is 100804259. The reversal of 100804248 is 842408001.

It is a super-2 number, since 2×1008042482 = 20322992829691008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100804241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1458 + ... + 14273.

Almost surely, 2100804248 is an apocalyptic number.

100804248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100804248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138048300).

100804248 is an abundant number, since it is smaller than the sum of its proper divisors (175292352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100804248 is a wasteful number, since it uses less digits than its factorization.

100804248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 100804248 is about 10040.1318716439. The cubic root of 100804248 is about 465.3998918668.

The spelling of 100804248 in words is "one hundred million, eight hundred four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 15731 31462 47193 62924 94386 125848 141579 188772 283158 377544 566316 1132632 1400059 2800118 4200177 5600236 8400354 11200472 12600531 16800708 25201062 33601416 50402124 100804248